નીચેના સંકલિત શોધો: $\int \frac{x^{3}-1}{x^{2}} dx$

  • A
    $\frac{x^{2}}{2} + \frac{1}{x} + C$
  • B
    $\frac{x^{2}}{2} - \frac{1}{x} + C$
  • C
    $\frac{x^{3}}{3} + \frac{1}{x} + C$
  • D
    $\frac{x^{2}}{2} + \ln|x| + C$

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$\int \frac{x \, dx}{x^2 + 4x + 5} = $

જો $0 \le x \le 1$, $I_1 = \int \sin^{-1} \sqrt{1 - x^2} dx$ અને $I_2 = \int \sin^{-1} x dx$ હોય, તો નીચેનામાંથી કયું સત્ય છે?

$\int \frac{x^5+1}{x+1} \, dx = $ . . . . . . $+ c$.

વિધેય $\frac{\sin ^{3} x+\cos ^{3} x}{\sin ^{2} x \cos ^{2} x}$ નું સંકલન શોધો.

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